10745362672144 has 15 divisors (see below), whose sum is σ = 20819165581903. Its totient is φ = 5372674780048.

The previous prime is 10745362672133. The next prime is 10745362672147. The reversal of 10745362672144 is 44127626354701.

It is a happy number.

The square root of 10745362672144 is 3278012.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10745362672091 and 10745362672100.

It is not an unprimeable number, because it can be changed into a prime (10745362672147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 12702297 + ... + 13521799.

Almost surely, 2^{10745362672144} is an apocalyptic number.

10745362672144 is the 3278012-nd square number.

It is an amenable number.

10745362672144 is a deficient number, since it is larger than the sum of its proper divisors (10073802909759).

10745362672144 is an frugal number, since it uses more digits than its factorization.

10745362672144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639014 (or 819505 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 52.

The spelling of 10745362672144 in words is "ten trillion, seven hundred forty-five billion, three hundred sixty-two million, six hundred seventy-two thousand, one hundred forty-four".